152876414208013 has 2 divisors, whose sum is σ = 152876414208014. Its totient is φ = 152876414208012.

The previous prime is 152876414207927. The next prime is 152876414208101. The reversal of 152876414208013 is 310802414678251.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115893255829129 + 36983158378884 = 10765373^2 + 6081378^2 .

It is a cyclic number.

It is not a de Polignac number, because 152876414208013 - 2²⁹ = 152875877337101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (152876414205013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76438207104006 + 76438207104007.

It is an arithmetic number, because the mean of its divisors is an integer number (76438207104007).

Almost surely, 2^{152876414208013} is an apocalyptic number.

It is an amenable number.

152876414208013 is a deficient number, since it is larger than the sum of its proper divisors (1).

152876414208013 is an equidigital number, since it uses as much as digits as its factorization.

152876414208013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 152876414208013 in words is "one hundred fifty-two trillion, eight hundred seventy-six billion, four hundred fourteen million, two hundred eight thousand, thirteen".